Question

Maria made 7 2/3 pints of juice. She drank 5/6 pint of the juice and poured 3/4 of the remaining juice equally into 3 bottles. How much juice is in each bottle?

Answer 1

We're starting with 7 2/3 pints of juice.

Since she drank 5/6 pint of the juice, let's subtract 5/6 from 7 2/3.

Convert 7 2/3 into an improper fraction: 23/3

Multiply 23/3 by 2/2 to find a common denominator. 23/3 becomes 46/6.

Subtract: 46/6 - 5/6 = 41/6

Now find 3/4 of 41/6 (the remaining juice) by multiplying them together.

3/4 * 41/6 = 123/24

Maria has 123/24 pint of juice and pours this equally into 3 bottles, so divide 123/24 by 3.

123/24 ÷ 3 ⇒ 123/24 × 1/3 = 123/72

Simplify: 41/24

41/24 = 1.7

There is 1.7 pint of juice in each bottle.

Answer 2

First, change 7 2/3 to an improper fraction

7 x 3 = 21 + 2 = 23

23/3 is the amount Maria made

Find a common denominator for all: 24

(23/3)(8/8) = 184/24

(5/6)(4/4) = 20/24

Subtract the amount she drank from the whole

184/24 - 20/24 = 164/24

Find 3/4 of the bottle

(164/24)(3/4) = 5.125

finally, divide the number gotten with 3

5.125/3 = 1.70

1.70 pints were in each bottle.

hope this helps